4450896000 has 256 divisors, whose sum is σ = 16395724800. Its totient is φ = 1186790400.

The previous prime is 4450895989. The next prime is 4450896071. The reversal of 4450896000 is 6980544.

4450896000 is a `hidden beast` number, since 4 + 45 + 0 + 8 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426849 + ... + 437151.

It is an arithmetic number, because the mean of its divisors is an integer number (64045800).

Almost surely, 2^4450896000 is an apocalyptic number.

4450896000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4450896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8197862400).

4450896000 is an abundant number, since it is smaller than the sum of its proper divisors (11944828800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4450896000 is a wasteful number, since it uses less digits than its factorization.

4450896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4450896000 is about 66715.0357865451. The cubic root of 4450896000 is about 1644.9365434698.

The spelling of 4450896000 in words is "four billion, four hundred fifty million, eight hundred ninety-six thousand".